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151531540 = 225171034327
BaseRepresentation
bin10010000100000…
…11000000010100
3101120010121012021
421002003000110
5302243002130
623011502524
73516665626
oct1102030024
9346117167
10151531540
1178598986
12428b7a44
1325517044
14161a6c16
15d48337a
hex9083014

151531540 has 48 divisors (see below), whose sum is σ = 340284672. Its totient is φ = 56480256.

The previous prime is 151531519. The next prime is 151531577. The reversal of 151531540 is 45135151.

It is a happy number.

It is a super-2 number, since 2×1515315402 = 45923615229543200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32857 + ... + 37183.

It is an arithmetic number, because the mean of its divisors is an integer number (7089264).

Almost surely, 2151531540 is an apocalyptic number.

151531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170142336).

151531540 is an abundant number, since it is smaller than the sum of its proper divisors (188753132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151531540 is a wasteful number, since it uses less digits than its factorization.

151531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 151531540 is about 12309.8147833345. The cubic root of 151531540 is about 533.1315026234.

Adding to 151531540 its reverse (45135151), we get a palindrome (196666691).

The spelling of 151531540 in words is "one hundred fifty-one million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 4327 7004 8654 8755 17308 17510 21635 35020 43270 73559 86540 147118 294236 367795 445681 735590 891362 1471180 1782724 2228405 4456810 7576577 8913620 15153154 30306308 37882885 75765770 151531540